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The Basic Algebra Behind Secret Codes and Space Communication
Whether you’re passing secret notes in class or downloading images from a space probe, Reed-Solomon codes offer an ingenious way to embed information and correct for errors.
‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture
Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong.
A Mathematician Dancing Between Algebra and Geometry
Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves.
The Simple Geometry Behind Brownie Bake Offs and Equal Areas
Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.
Mathematicians Discover the Fibonacci Numbers Hiding in Strange Spaces
Recent explorations of unique geometric worlds reveal perplexing patterns, including the Fibonacci sequence and the golden ratio.
‘Monumental’ Math Proof Solves Triple Bubble Problem and More
The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result.
How Isaac Newton Discovered the Binomial Power Series
Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.